In his Pyrrhonian Outlines, Sextus Empiricus employs an argument based upon the possibility of disagreement in order to show that one should not assent to a Dogmatic claim to which at present one cannot oppose a rival claim. The use of this argument seems to be at variance with the Pyrrhonian stance, both because it does not seem to accord with the definition of Skepticism and because the argument appears to entail that the search for truth is doomed to failure. In the present paper, I examine the passages in which Sextus utilizes the argument from possible disagreement and offer an interpretation that makes the use of this argument compatible with the Pyrrhonian outlook.